2,264
2,264 is a composite number, even.
2,264 (two thousand two hundred sixty-four) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2³ × 283. Written other ways, in Roman numerals it is MMCCLXIV and in binary, 100011011000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 14
- Digit product
- 96
- Digital root
- 5
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 4,622
- Recamán's sequence
- a(3,223) = 2,264
- Square (n²)
- 5,125,696
- Cube (n³)
- 11,604,575,744
- Divisor count
- 8
- σ(n) — sum of divisors
- 4,260
- φ(n) — Euler's totient
- 1,128
- Sum of prime factors
- 289
Primality
Prime factorization: 2 3 × 283
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,264 = [47; (1, 1, 2, 1, 1, 3, 4, 2, 11, 2, 4, 3, 1, 1, 2, 1, 1, 94)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- two thousand two hundred sixty-four
- Ordinal
- 2264th
- Roman numeral
- MMCCLXIV
- Binary
- 100011011000
- Octal
- 4330
- Hexadecimal
- 0x8D8
- Base64
- CNg=
- One's complement
- 63,271 (16-bit)
- Scientific notation
- 2.264 × 10³
- As a duration
- 2,264 s = 37 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵βσξδʹ
- Mayan (base 20)
- 𝋥·𝋭·𝋤
- Chinese
- 二千二百六十四
- Chinese (financial)
- 貳仟貳佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,264 = 6
- e — Euler's number (e)
- Digit 2,264 = 8
- φ — Golden ratio (φ)
- Digit 2,264 = 8
- √2 — Pythagoras's (√2)
- Digit 2,264 = 2
- ln 2 — Natural log of 2
- Digit 2,264 = 8
- γ — Euler-Mascheroni (γ)
- Digit 2,264 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2264, here are decompositions:
- 13 + 2251 = 2264
- 43 + 2221 = 2264
- 61 + 2203 = 2264
- 103 + 2161 = 2264
- 127 + 2137 = 2264
- 151 + 2113 = 2264
- 181 + 2083 = 2264
- 211 + 2053 = 2264
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 A3 98 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.216.
- Address
- 0.0.8.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.8.216
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,264 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, +36¢)
- Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, -26¢)
- Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, +37¢)
The digit sequence 2264 first appears in π at position 12,745 of the decimal expansion (the 12,745ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.